About the entropic structure of detailed balanced multi-species cross-diffusion equations

DOI10.1016/j.jde.2018.09.020zbMath1405.35082arXiv1803.09808OpenAlexW2963133235MaRDI QIDQ1710722

Laurent Desvillettes, Esther S. Daus, Helge Dietert

Publication date: 23 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09808

zbMATH Keywords

population dynamicsentropy methodmean-field limitmultispeciesdetailed balancecross diffusionOnsager's principleShigesada-Kawasaki-Teramoto system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (9)

Stochastic approach to Fisher and Kolmogorov, Petrovskii, and Piskunov wave fronts for species with different diffusivities in dilute and concentrated solutions ⋮ Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method ⋮ Convergence Towards the Population Cross-Diffusion System from Stochastic Many-Particle System ⋮ Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems ⋮ Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit ⋮ From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients ⋮ Analysis of a Degenerate and Singular Volume-Filling Cross-Diffusion System Modeling Biofilm Growth ⋮ Rigorous mean-field limit and cross-diffusion ⋮ Differential equations arising from organising principles in biology. Abstracts from the workshop held September 23--29, 2018

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